If ABCD is a square and AB = 10, what is the measure of AC? (rounded to the nearest hundredth)

A) 7.07

B) 14.14

C) 19.21

D) 28.28

Question

Mathematics

Rodriguez

11 March, 21:25

If ABCD is a square and AB = 10, what is the measure of AC? (rounded to the nearest hundredth)

A) 7.07

B) 14.14

C) 19.21

D) 28.28

+5

Answers (1)

Know the Answer?

Marc Grimes · Answer 1

The correct answer is B. 14.14 cm

Step-by-step explanation:

Let's use the Pythagorean theorem to find out the measure of AC, this way because AC divides the square in two equal triangles:

AC is the hypotenuse of either Δ ABC or Δ ACD, which sides are 10 cm, therefore we have:

AC ² = Side₁² + Side₂²

AC ² = 10² + 10²

AC ² = 200

√AC ² = √200

AC = 14.14 cm

The correct answer is B. 14.14 cm

If ABCD is a square and AB = 10, what is the measure of AC? (rounded to the nearest hundredth)A) 7.07B) 14.14C) 19.21D) 28.28

If ABCD is a square and AB = 10, what is the measure of AC? (rounded to the nearest hundredth)

A) 7.07

B) 14.14

C) 19.21

D) 28.28